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Diagonals drawn from one vertex of a hexagon split it into triangles, as shown. Which rule gives the number of triangles for an n-sided polygon?

Class 7Formulas and Rules from PatternsAlgebra
  • An
  • Bn − 3
  • Cn + 2
  • Dn − 2

Step-by-Step Solution

From one vertex there are n − 3 diagonals, and they cut the polygon into one more piece than that: n − 2 triangles. A hexagon (n = 6) gives 4.
Answer: D) n − 2

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